(siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

Q: . (6xy² – xey + 2y)dy = y(e*y – 2y²)dx

A: Using method of exact differential equation.

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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Q: find the y-intercept of the line that passes through (1,2,-3) and is parallel to the wing 1/3(x-4)= ...

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Q: Disagree 3. If f(a) is undefined, Agree. then lim f(x) does not exist. Justify: Agree. Disagree 4. I...

A: As per our guidelines answer first three subpart of a multi part question. So please resubmit the re...

Q: deteremine the solution of the following equations using the methods in solving for solutions of dif...

A: Differential equation problem   , v =  y/x   form 

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if , 2. The function f(x, y)...

A: Topic:- calculus

Q: Given the function f(x) = 3z2 - 3z- 3 find the following. (a) the average rate of change of f on [2,...

A: We will find the average rate of change of function for the given condition.Below find the solution ...

Q: 8 -5 -8 Factor out (1 + z )° from (256z°+ 150z + 150z - 25z- 25z° + 3 + 3z1

A: Given:    256z-5+150z-4+150z-6-25z-2-25z-8+3+3z-10

Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

A:

Q: x- 1 (i) y = () y = Vx(Vx+1) x + 1

A:

Q: Find the area between the curve and the x-axis for the function y = x2 +3x between x= -1 and x = 2 a...

A: To

Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

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Q: What have you learned in evaluating integrals?

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Q: Evaluate the following definite integral: dx = 12

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Q: d²y dy Solve: x2 dx2 + 3x+y = 4 cos (In x³) dx L: L:

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Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at th...

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Q: Evaluate the differential equation using homogenous equation:  1. xdy+(2y-x)dx=o ASAP!

A: Topic:- differential equations

Q: Find the limit lim 14,cos(, 18z Note: Give the exact answer but not the decimal approximation (for e...

A: Given:   limx→0+x14 ecosπ18x

Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: Find the volume generated by rotating the region bounded by the curves about the specified axis. Use...

A:

Q: An investment firm expects the price of the Campbell’s Soup Company stock to increase via P(t)  =  P...

A:

Q: 1. y'dx-(ty+ y*Jdy = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

A: Given:

Q: Chq/ Evaluate & F.dr by Stoke's theorem, Where fay+x§-cx+z)£ qnd C is the bounday of tri angle with ...

A: Stoke's Theorem : ∮F→.dr→ = ∫∫ F→.n^ dS

Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was e...

A:

Q: Part 1. Setup the integral that will give the mass of a metal rod that is 1l inches long (orientated...

A: length ofrod = 1 inches density of rod ρ=4x lb/in

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible va...

A:

Q: y''=-4cos(2x)+2sin(2x), Eliminate Arbitrary Constant

A:

Q: y=2C1cos(2x)+C2sin(2x), Eliminate Arbitrary Constant

A:

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx -[x°sin(xy)+x...

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Q: Circles and parabola are functions A. True B. False

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Q: Find the partial fraction decomposition of the function. Write answer in simplest form. 10 b) f(x)= ...

A: Given that: f(x)=10(x-1)(x2+9)

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cos x,...

A: The region is bounded by y=cos x and y=2-cos x, 0≤x≤2π

Q: x*dy+ (2xy – y³ ktx = 0 Let the substitution v=2; y= Vx; dy=vdx+ xdv

A: Topic:- differential equations

Q: 1 + 20 f(x) , g(x) h(x) The partial fraction decomposition of - + 3x2 can be written in the form of ...

A: Given that: x2+20x3+3x2

Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent va...

A: We are asked to find the  non homogeneous second order euqation.

Q: 5 The function f (x, y) =| x² cos² is homogenous in x and y of degree,

A:

Q: (cos x - sinx +1) sin x cos x dx

A: You can solve this question by substitution method.

Q: 1 A water tank has the shape obtained by rotating the parabola y equals x squared about the y-axis, ...

A:

Q: approximate the value of 1 dx with 6 subintervals by x2 +1 using: a) the Trapezoid Rule b) Simpson's...

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Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

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Q: 4922 – 75x – 19 – 4x Find the limit, if it exists: (Do not use L'Hospital's rule) lim x-00 86x + 7 N...

A: Here we have to find the limit.

Q: 3) y' dx-(xy+y*) dy-o Let the substitution v= i y vx; dy-vdx+xdv %3D )x*dy+(2xyy*) ax -o Let the sub...

A:

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: To find the points which is not in the domain secx

Q: 4. Find and completely simplify the 6th term in the binomial expansion of: (2x - "

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Q: Agree. Disagree 4. If lim f(x) = 0o, then lim f(x) does not exist. Justify:

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Q: P3.B: At any point of a curve y =f(x), y" = 6x + 4. If the curve passes throurh the points (1, 0) an...

A: y"=6x+4auxilary eq m2=0⇒m=0,0y=(c1+c2x)e0x⇒ y=c1+c2xparticular integral PIPI= 6x+4f(D)=6x+4D2=1D1D(6...

Q: 6. radians 7. radians 8. radians 2 3n radians 9. 10. 2n radians Example: -135' (OD)

A:

Q: fre x'e*dx

A: Given: ∫0∞x2e-xdx